Linux Lite 3.2 introduces a new small, yet significant widget called Linux Desktop Widget. This displays basic system details, along with update status. This is an optional widget and needs to enabled manually. It also displays messages in different colors to indicated update status of system. The other notable highlights includes updated grub which enables multi-booting, refined plymouth theme, improved system tray icons, terminal theme and updated help documents.

source : Linux Lite forum

The important highlights in Linux Lite 3.2 beta can be summarized as follows:

Lite Desktop Widget - An optional feature that displays basic system information, including Updates Status that reports the last time you installed Updates.

Updated grub - Linux Lite should now multi boot with other distros, whilst remaining
easily distinguishable to Windows folks in a dual boot environment. I
look forward to your feedback in regard to these changes.

Updated plymouth theme- Reduced strain for eyes and displays the eject message at the end of installation more clearly.

Since Linux Lite 3.2 beta is a development release, there is no option to upgrade to this release or to upgrade from this release. The only purpose of this release to provide a testing image so that issues can be detected easily and the upcoming release can be made more stable.